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Finding the Fourth Proportional to 354,586.50, 489,329.37 and 227,262.11

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Solution

The fourth proportional to 354,586.50, 489,329.37 and 227,262.11 is: 313,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,586.50 : 489,329.37 = 227,262.11 : x
  2. Step 2: Convert to fraction form
    354,586.50/489,329.37 = 227,262.11/x
  3. Step 3: Cross multiply
    354,586.50x = 489,329.37 × 227,262.11
  4. Step 4: Simplify right side
    354,586.50x = 111,206,022,664.52
  5. Step 5: Solve for x
    x = 111,206,022,664.52/354,586.50
  6. Step 6: Final answer
    x = 313,621.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.